%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM582+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 12:28:34 PM UTC 2025
% Result : Theorem 2.35s 0.72s
% Output : CNFRefutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 14 unt; 0 def)
% Number of atoms : 64 ( 5 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 55 ( 14 ~; 13 |; 16 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xi))
=> aElementOf0(W0,xS) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xi))
=> aElementOf0(W0,xS) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(253,plain,
aElementOf0(sK36,sdtlpdtrp0(xN,xi)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
aElementOf0(sK36,sdtlpdtrp0(xN,xi)),
inference(instantiation,[status(thm)],[253]) ).
fof(m__3754,plain,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W1,W0)
=> ( ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W0))
=> aElementOf0(W2,sdtlpdtrp0(xN,W1)) )
& aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
cnf(225,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X1,X0)
| aElementOf0(X2,sdtlpdtrp0(xN,X1)) ),
inference(cnf,[status(esa)],[m__3754]) ).
cnf(l1,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(sK36,sdtlpdtrp0(xN,xi))
| ~ sdtlseqdt0(sz00,xi)
| aElementOf0(sK36,sdtlpdtrp0(xN,sz00)) ),
inference(instantiation,[status(thm)],[225]) ).
fof(m__3989,plain,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3989) ).
cnf(232,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf,[status(esa)],[m__3989]) ).
cnf(l2,plain,
aElementOf0(xi,szNzAzT0),
inference(instantiation,[status(thm)],[232]) ).
fof(m__3623,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> aElementOf0(W1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,W0)) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W1] :
( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( aElement0(W1)
& aElementOf0(W1,sdtlpdtrp0(xN,W0))
& W1 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
=> aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
cnf(206,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(cnf,[status(esa)],[m__3623]) ).
cnf(l22,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(instantiation,[status(thm)],[206]) ).
fof(mZeroNum,plain,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
cnf(45,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf,[status(esa)],[mZeroNum]) ).
cnf(l6,plain,
aElementOf0(sz00,szNzAzT0),
inference(instantiation,[status(thm)],[45]) ).
fof(mZeroLess,plain,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(sz00,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
cnf(52,plain,
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(sz00,X0) ),
inference(cnf,[status(esa)],[mZeroLess]) ).
cnf(l5,plain,
( ~ aElementOf0(xi,szNzAzT0)
| sdtlseqdt0(sz00,xi) ),
inference(instantiation,[status(thm)],[52]) ).
cnf(254,plain,
~ aElementOf0(sK36,xS),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l18,plain,
~ aElementOf0(sK36,xS),
inference(instantiation,[status(thm)],[254]) ).
cnf(l21,plain,
aElementOf0(xi,szNzAzT0),
inference(instantiation,[status(thm)],[232]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l22,l6,l5,l18,l21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM582+3 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 13:00:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.39 % launching worker at depth: 10
% 2.35/0.72 % SZS status Theorem for theBenchmark
% 2.35/0.72 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------